This work is partially supported by the National Natural Science Foundation of China(Grant No.10671160);China Postdoctoral Science Foundation(Grant No.20060400107)
The embedding theorem is established for Z-graded transitive modular Lie superalgebras g■■■(g-1)satisfying the conditions: (i)g0■■(g-1) and g0-module g-1 is isomorphic to the natural■(g-1)-module; (ii)dim g1=2/3...